MATHEMATICS HIGH SCHOOL

Match the side and angle measures of each triangle to its correct classification.

Answers

Answer 1

Answer:

We can match like this

Angle measures : 38 degrees, 38 degrees and 104 degrees

Side lengths : 8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

What is an obtuse scalene triangle?

"An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. These triangles are scalene and obtuse at the same time. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures."

What is a right scalene triangle?

"A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal."

What is an obtuse isosceles triangle?

"The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length."

What is acute equilateral triangle?

"In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute."

In the first option

Angle measures : 38 degrees, 38 degrees and 104 degrees

Side lengths : 8 inches, 8 inches, 11 inches

We can observe that one of the angle is greater than 90 degrees and two sides of the triangle are equal in length.

The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length.

In the second option

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

We can observe that one of the angle is right angle and all sides are different.

A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal.

In the third option

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

We can observe that an angle is greater than 90 degrees and all the sides with different lengths.

An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures.

In the fourth option

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

We can observe that all the angles are equal and angles are less than 90 degrees. All the sides are equal.

In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute.

We can match like this

Angle measures : 38 degrees, 38 degrees and 104 degrees

Side lengths : 8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

Learn more about types of triangles here

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Answer 2

Answer:

Answer: 38° obtuse isosceles 26° obtuse scalene 60° acute equilateral 22° right scalene

Step-by-step explanation:

Trust me

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Graph the function f(x) = x3 − 15x2 + 68x − 96. Describe the graph. Include the y-intercept, x-intercepts, and the shape of the graph.

Answers

The function is a cubic function with y intercept at y = -96 and x-intercepts at x = 3, x = 4 and x = 8.
The graph is looks like an 'S' shape rotated to the left.

yintercept is where x=0
xint is where y=0
shape is 3rd degree and positive leading coefient
it goes from bottom left to top right

yint is -96
xint
factor
f(x)=(x-8)(x-4)(x-3)
xints are at (8,0) and (4,0) and (3,0)

Solve the inequalities -150x ≥ − 2,400 and -336 ≥ − 21y.x. -15
15
-16
16
y.
-16
16
-21
21
In the relationship between x and y,
.x is always less than y
.some x values are greater than y
.x is always less than or equal to y
.y is always less than x

Answers

-150x ≥ -2400
⁻¹⁵⁰ˣ/₋₁₅₀ ≥ ⁻²⁴⁰⁰/₋₁₅₀
x ≤ 16

-336 ≥ -21y
⁻³³⁶/₋₂₁ ≥ ⁻²¹/₋₂₁y
16 ≤ y
y ≥ 16

In the relation between x and y, x is always less than or equal to y. The answer is equal to C.

Find the area of
12d^6e^7

Answers

Simplifying
12d6e7 = 0

Solving
12d6e7 = 0

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Divide each side by '12'.
d6e7 = 0

Simplifying
d6e7 = 0

The solution to this equation could not be determined. -geteasysolution.com

Which expression represents "the sum of 3 and n"a. n + 3
b. n3
c. 3n
d. n + n + n

Answers

Answer:

Option (a) is correct.

n + 3 represents the given expression "the sum of 3 and n" correctly.

Step-by-step explanation:

Given : Expression "the sum of 3 and n"

We have to choose the correct option from the given options that represents the given expression "the sum of 3 and n" correctly.

Consider the given expression "the sum of 3 and n"

We know the mathematical symbol for sum is '+'

So, The sum of 3 and n is written mathematically as 3 + n

Thus, n + 3 represents the given expression "the sum of 3 and n" correctly.

The answer would be A, yet if this was for homework or a test, you would write it out as "3 + n".

Find the limit of the function algebraically. limit as x approaches negative six of quantity x squared minus thirty six divided by quantity x plus six.

Answers

$lim_(x \rightarrow -6) (x^2-36)/(x+6) \n =lim_(x \rightarrow -6) ((x-6)(x+6))/(x+6) \n =lim_(x \rightarrow -6) (x-6) \n =-6-6=-12$

Answer:

-12

Step-by-step explanation:

$\lim_(x \to \ -6) (x^2-36)/(x+6)$

We factor the numerator and try to simplify the fraction as much as we can.

$x^2-36 = x^2 - 6^2$

Apply a^2 - b^2 formula (a+b)(a-b)

$x^2-36 = x^2 - 6^2=(x+6)(x-6)$

$\lim_(x \to \ -6) ((x+6)(x-6)/(x+6)$

Cancel out x+6 from top and bottom

$\lim_(x \to \ -6)(x-6)$

Plug in -6 for x

-6-6 = -12

happy paws charges $19.00 plus $1.50 per hour to keep a dog during the day. Woof Watchers charges $15.00 plus $2.75 per hour. write an equation to find for how many hours the total cost of the services is equal.

Answers

Happy paws y=1.5x+19

Woofy Watchers y=2.75x+15

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